Solution to:
Table for Two

Put the first euro exactly in the middle of the table.
Place each next coin "mirrored" to the coin your opponent has just placed:
draw an imaginary line from the last coin of your opponent, through the center of the table, and place your coin on that line,
exactly as far from the center of the table as your opponent's coin.
In this way, you are sure that you can always place a euro and that your opponent is the first one that can no longer place a euro.